Yes, this is shown in Chapter 15 of Rudin's Real and complex analysis, starting on page 310 under the subheading "Blaschke products". The Blaschke condition applies to the zero sets of … From math.stackexchange.com
UNDERSTANDING THE DETERMINANT OF AN INFINITE MATRIX
Feb 9, 2020 (A A is the infinite matrix with diagonal elements equal to 1 1 and 0 0 's everywhere else). If A A were finite-dimensional then mutlipyling the diagonal elements, the determinant … From math.stackexchange.com
WHAT IS THE DIFFERENCE BETWEEN "INFINITE" AND "TRANSFINITE"?
Jun 6, 2020 The reason being, especially in the non-standard analysis case, that "infinite number" is sort of awkward and can make people think about ∞ ∞ or infinite cardinals … From math.stackexchange.com
If V V is an infinite dimensional vector spaces, then it has an infinite basis. Any proper subset of that basis spans a proper subspace whose dimension is the cardinality of the subset. So, … From math.stackexchange.com
An infinite dimensional vector space over a field with p p elements is probably the simplest example. But there are some really wacky groups called "Tarski Monsters" that provide … From math.stackexchange.com
I HAVE LEARNED THAT 1/0 IS INFINITY, WHY ISN'T IT MINUS INFINITY?
An infinite number? Kind of, because I can keep going around infinitely. However, I never actually give away that sweet. This is why people say that 1 / 0 "tends to" infinity - we can't really use … From math.stackexchange.com
ELEMENTARY SET THEORY - WHAT DO FINITE, INFINITE, COUNTABLE, NOT ...
A set A A is infinite, if it is not finite. The term countable is somewhat ambiguous. (1) I would say that countable and countably infinite are the same. That is, a set A A is countable (countably … From math.stackexchange.com
WHAT IS INFINITY DIVIDED BY INFINITY? - MATHEMATICS STACK EXCHANGE
Aug 11, 2012 I know that $\\infty/\\infty$ is not generally defined. However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as … From math.stackexchange.com
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